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9709/22

Mathematics 9709/22 — October/November 2013

Cambridge AS Level · Pure Mathematics 2 · worked solutions for every part, with the mark scheme

7
questions
50
marks
75
minutes

Topics Integration · Differentiation · Trigonometry · Logarithmic and Exponential Functions · Algebra · Numerical Solution of Equations

Q1IntegrationLogarithmic and Exponential FunctionsFree sample
(i)

Find

∫24x−1 dx.\int \frac{2}{4x - 1} \, dx.
2M
(ii)

Hence find

∫1724x−1 dx,\int_{1}^{7} \frac{2}{4x - 1} \, dx,

expressing your answer in the form ln⁡a\ln a, where aa is an integer.

3M

The rest of this paper

6 more questions
  • Q2Differentiation5M
  • Q3Trigonometry6M
  • Q4Algebra7M
  • Q5Differentiation8M
  • Q6Integration · Trigonometry9M
  • Q7Integration · Numerical Solution of Equations10M
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